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By George Hart for the Museum of Mathematics

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Here is a weaving challenge for serious makers: Can you take a single length of wire and weave it into a 3D donut surface as shown in this image?  The two ends of the wire are joined with a small crimp, so it is all one continuous loop. This was made by Dmitri Kolzov and displayed at the European Society for Mathematics and Art Conference in Paris this past July.

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It can be compressed flat, but naturally springs back into the torus shape.  If you solve that and want another challenge, try making Dmitri’s springy double-sphere surface, again from a single loop of wire:

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More:
See all of George Hart’s Math Monday columns

Gareth Branwyn

Gareth Branwyn is a freelancer writer and the former Editorial Director of Maker Media. He is the author or editor of a dozen books on technology, DIY, and geek culture, including the first book about the web (Mosaic Quick Tour) and the Absolute Beginner’s Guide to Building Robots. He is currently working on a best-of collection of his writing, called Borg Like Me.


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